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Unformatted text preview: This is because no two real world problems are alike, and each new modelling exercise poses new challenges. Step 1: The starting point is the real world problem. ‐ define the problem clearly and unambiguously. ‐ The problem is then transformed into a system with a goal of study. ‐ This may require prior knowledge about the real world associated with the problem, and/or if the prior knowledge is not sufficient, then one has to design an experiment to obtain new/additional knowledge. Step 2: (System Characterization): Step 1 leads to an initial description of the problem based on prior knowledge of its behaviour. The problem as such may be very complicated and may have features which may not be relevant from the point of view of the goal. So one make some simplifications and idealizations to obtain a real world model (RWM). This involves a process of simplification and idealization – known as system characterization. It is a crucial step in model building and requires a deep understanding of the physical aspects of the system. Step 3 (Mathematical Model): At this stage the system characterizat...
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